Specific Heat of a Three Dimensional Metal Near a T=0 Magnetic Transition with Dynamic Exponent z=2,3,4

Abstract

We derive expressions for the universal contribution to the specific heat of a three-dimensional metal near a zero-temperature phase transition with dynamic exponent $z=2,3$, or 4. The results allow a quantitative comparison of theory to data. We illustrate the application of our results by analyzing data for Ce${}_{1-x}$Lu${}_x$Cu${}_2$Si${}_2$, which has been claimed to be near a quantum critical point.

23 pages, revtex. For figures, send mail to [email protected]

References in corpus (1)

• Quantum Phase Transitions and Conserved Charges

Cited by in corpus (25)

• Universally diverging Grueneisen parameter and the magnetocaloric effect close to quantum critical points
• Non Fermi Liquid Behaviour near a $T=0$ spin-glass transition
• Magnetism and superconductivity in Ce_2RhIn_8
• Theory of finite temperature crossovers near quantum critical points close to, or above, their upper-critical dimension
• Synthesis, Characterization and Magnetic Susceptibility of the Heavy Fermion Transition Metal Oxide LiV_{2}O_{4}
• Specific Heat (1.2-108 K) and Thermal Expansion (4.4-297 K) Measurements of the 3d Heavy Fermion Compound LiV_{2}O_{4}
• Hyperscaling violation at the Ising-nematic quantum critical point in two dimensional metals
• High pressure phase diagrams of CeRhIn${}_5$ and CeCoIn${}_5$ studied by ac calorimetry
• Another dimension: investigations of molecular magnetism using muon-spin relaxation
• muSR and inelastic neutron scattering investigations of the caged type Kondo semimetals: CeT2Al10 (T=Fe, Ru and Os)
• Strongly coupled quantum criticality with a Fermi surface in two dimensions: fractionalization of spin and charge collective modes
• Quantum Tricriticality in Antiferromagnetic Ising Model with Transverse Field: A Quantum Monte-Carlo Study
• Paramagnetic to ferromagnetic phase transition in lightly Fe-doped Cr${}_2$B
• Entropy accumulation near quantum critical points: effects beyond hyperscaling
• Specific Heat of Sr4Ru3O10
• Low-Temperature Quantum Critical Behaviour of Systems with Transverse Ising-like Intrinsic Dynamics
• Anomalous itinerant magnetism in single crystal Sr4Ru3O10: A thermodynamic and transport investigation
• Superconductivity in heavy fermion compounds
• Origin of the non-Fermi-liquid behavior in CeRh2As2
• Grüneisen Parameter and Thermal Expansion near Magnetic Quantum Critical Points in Itinerant Electron Systems
• Recovery of the Fermi-liquid state in U_3Ni_3Sn_4 by pressure
• Crystal Structure and Physical Properties of U3T3Sn4 (T = Ni, Cu) Single-Crystals
• Renormalization group approach of itinerant electron systems near the Lifshitz point
• Itinerant magnetism in Weyl spin-orbit coupled Fermi gas
• Grüneisen Parameter and Thermal Expansion by the Self-Consistent Renormalization Theory of Spin Fluctuations